6 citations · 9 across the 9 of their papers we have counts for
10 papers
Gopakumar-Vafa invariants and Macdonald formula II
Lutian Zhao
We prove the cohomological Gopakumar-Vafa/Pandharipande-Thomas correspondence for the local plane and quadric in every effective curve class and Euler characteristic. The strict su…
Topological String Blowup Equations via Stable Pairs
Lutian Zhao
The blowup equations of Huang, Sun and Wang are bilinear relations satisfied by the refined topological string partition function of a local Calabi--Yau 3-fold. We prove the blowup…
Level structures on parahoric torsors and complete integrability
Georgios Kydonakis, Lutian Zhao
For a smooth complex algebraic curve and a reduced effective divisor on , we introduce a notion of -level structure on parahoric -torsors…
Gopakumar-Vafa Invariants and Macdonald Formula
Lutian Zhao
We use a derived constructible Chow exponential and prove that its coefficients are perverse minimal extensions from reduced cycles. With compatible orientations, we formulate the…
Tame parahoric nonabelian Hodge correspondence on curves
Pengfei Huang, Georgios Kydonakis, Hao Sun +1
The nonabelian Hodge correspondence for vector bundles over noncompact curves is adequately described by implementing a weighted filtration on the objects involved. In order to est…
Logahoric Higgs Torsors for a Complex Reductive Group
Georgios Kydonakis, Hao Sun, Lutian Zhao
In this article, a logahoric Higgs torsor is defined as a parahoric torsor with a logarithmic Higgs field. For a connected complex reductive group , we introduce a notion of sta…
Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves
Georgios Kydonakis, Hao Sun, Lutian Zhao
We demonstrate the construction of Poisson structures via Lie algebroids on moduli spaces of twisted stable Higgs bundles over stacky curves. The construction provides new examples…
Monodromy of Rank 2 Parabolic Hitchin Systems
Georgios Kydonakis, Hao Sun, Lutian Zhao
We study the monodromy of the Hitchin fibration for moduli spaces of parabolic G-Higgs bundles in the cases when G=SL(2,R), GL(2,R) and PGL(2,R) A calculation of the orbits of the…
The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs -bundles and components of parabolic -Higgs moduli Spaces
Georgios Kydonakis, Hao Sun, Lutian Zhao
We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs -bundles. Using this correspo…
Topological invariants of parabolic -Higgs bundles
Georgios Kydonakis, Hao Sun, Lutian Zhao
For a semisimple real Lie group , we study topological properties of moduli spaces of polystable parabolic -Higgs bundles over a Riemann surface with a divisor of finitely ma…